mf/feta-bolletjes.mf

   1 %  -*-Fundamental-*-
   2 % feta-bolletjes.mf --  implement noteheads
   3 %
   4 % source file of LilyPond's pretty-but-neat music font
   5 %
   6 % (c) 1997--2001 Jan Nieuwenhuizen <janneke@gnu.org>
   7 % & Han-Wen Nienhuys <hanwen@cs.uu.nl>
   8 %
   9
  10
  11 % most beautiful noteheads are pronounced, not circular,
  12 % and not even symmetric.
  13 % These examples are inspired by [Wanske], see literature list
  14
  15
  16 save black_notehead_width;
  17 numeric black_notehead_width;
  18
  19 fet_begingroup("noteheads");
  20
  21 noteheight#:=staff_space#+ (1 + overdone_heads) *stafflinethickness#;
  22 define_pixels(noteheight);
  23
  24
  25 %%%%%%%%
  26 %
  27 %
  28 %
  29 % MENSURAL NOTATION
  30 %
  31 %
  32 %
  33 brevis_wid# := 2 staff_space#;
  34
  35 def draw_brevis(expr brevwid) =
  36         save beamheight, head_width;
  37         save holeheight, stem_width;
  38         save serif_size, serif_protrude;
  39
  40         head_width# = brevwid;
  41         holeheight = 3 stafflinethickness;
  42         stem_width = 1.4 stafflinethickness;
  43
  44
  45         define_pixels(head_width);
  46         set_char_box(0, head_width#, noteheight#/2, noteheight#/2);
  47
  48         2 beamheight + holeheight = noteheight;
  49         serif_size = (holeheight - stafflinethickness)/2;
  50         serif_protrude = 1.5 serif_size;
  51         penpos1(stem_width, 0);
  52         penpos2(stem_width, 0);
  53         penpos3(beamheight, 90);
  54         penpos4(beamheight, 90);
  55         penpos5(stem_width, 180);
  56
  57         z1l = (0, 0);
  58         z2l = (0, -stafflinethickness/2);
  59         z3r = z2r + serif_size *(1,-1);
  60         y4r = y3r;
  61         x4r = head_width/2;
  62         z5l = z3l + (-serif_size, -serif_protrude);
  63
  64         penlabels(1,2,3,4, 5);
  65         fill z1r -- z1l -- z5r{down} .. z5l{up} .. z3l{right}
  66                 -- z4l -- z4r -- z3r{left} .. z2r{up} -- cycle;
  67
  68         addto currentpicture also currentpicture yscaled -1;
  69         show z4r; show z4l;
  70         addto currentpicture also currentpicture
  71                 shifted (-x4r,0) xscaled -1 shifted (x4l,0);
  72
  73 enddef;
  74
  75
  76 %
  77 % Some sources (eg Musix/OpusTeX think that the appendage should be on
  78 % the left, some say right. Right wins democratically.
  79 %
  80 def draw_longa (expr wid) =
  81         draw_brevis(wid);
  82         save theta;
  83
  84         x7r = head_width;
  85         y7 = y5;
  86 %       z7 = z5;
  87         z6 - z7 = (stem_width/2, -staff_space);
  88         theta = angle(z6-z7)+ 90;
  89         penpos7(stem_width, theta);
  90         penpos6(1.2 stem_width, theta);
  91
  92         fill z7r .. z6r{z6-z7} .. {z7-z6} z6l -- z7l -- cycle;
  93         penlabels(6,7);
  94 enddef;
  95
  96 %
  97 % En wij presenteren U: de opvolgster van Emily
  98 %
  99 % (ze is wel breed)
 100 %
 101 fet_beginchar("Maxima notehead", "-3mensural", "mensuralmaximahead");
 102         draw_longa (1.3 brevis_wid#)
 103 fet_endchar;
 104
 105 fet_beginchar("Longa notehead", "-2mensural", "mensurallongahead");
 106         draw_longa (brevis_wid#)
 107 fet_endchar;
 108
 109 fet_beginchar("Brevis notehead", "-1mensural", "mensuralbrevishead")
 110         draw_brevis(brevis_wid#);
 111 fet_endchar;
 112
 113 def draw_mensural_black_head (expr wid) =
 114         save head_width;
 115         head_width# = wid;
 116         set_char_box (0, head_width#, noteheight#/2, noteheight#/2);
 117
 118
 119         y3 = y1 =0;
 120         x2 = x4 = (x1 + x3) /2;
 121         define_pixels (head_width);
 122         pickup pencircle scaled blot_diameter;
 123         top y2 = h;
 124         bot y4 = -d;
 125         lft x1 = 0;
 126         rt x3 = w;
 127
 128         filldraw z1 -- z2 -- z3 -- z4 -- cycle;
 129 enddef;
 130
 131 def draw_mensural_open_head (expr wid)=
 132         draw_mensural_black_head (wid);
 133         save diamNW, diamSW;
 134         diamNW = length (z2 - z1) + blot_diameter;
 135         diamSW = length (z4 - z1) + blot_diameter;
 136
 137         save hole_widthNW, hole_widthSW;
 138         hole_widthNW = 0.34 diamNW ;
 139         hole_widthSW + 2.6 stafflinethickness = diamSW;
 140
 141         (z7 + z5)/2 = (w/2, 0);
 142         (z8 + z6)/2 = (w/2, 0);
 143         (z6 - z5) = hole_widthNW * unitvector (z2 - z1);
 144         (z7 - z6) = hole_widthSW * unitvector (z4 - z1);
 145
 146         labels (1,2,3,4,5,6,7,8);
 147
 148         unfill z5 -- z6 -- z7 -- z8 --cycle;
 149 enddef;
 150
 151 fet_beginchar("Mensural open head","0mensural","mensuralminimhead")
 152         draw_mensural_open_head (staff_space#);
 153 fet_endchar;
 154
 155 fet_beginchar("Mensural open head","1mensural","mensuralsemiminimhead")
 156         draw_mensural_open_head (staff_space#);
 157 fet_endchar;
 158
 159 fet_beginchar("Mensural black head","2mensural","fusahead")
 160         draw_mensural_black_head (staff_space#);
 161 fet_endchar;
 162
 163
 164 %%%%%%%%%%%%
 165 %
 166 %
 167 % ledger (leger) lines
 168 %
 169 fet_beginchar("Ledger ending", "ledgerending", "ledgerending")
 170 set_char_box (5/2 ledgerlinethickness#, 5/2 ledgerlinethickness#,
 171                 ledgerlinethickness#/2,ledgerlinethickness#/2);
 172         pickup pencircle scaled 1.3 blot_diameter;
 173
 174         rt x2 = w;
 175         lft x1 = -b;
 176         x3 = x2;
 177         bot y1 = -d;
 178         y2 = y1;
 179
 180         top y3 = h;
 181         y4 = y3;
 182         x4 = x1;
 183
 184         filldraw z1 --- z2 --- z3 --- z4 --- cycle ;
 185 fet_endchar;
 186
 187
 188
 189 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 190 %
 191 %
 192 %
 193 %
 194 %
 195 % TODO: Document these!
 196
 197 % setup user vars
 198 def setup_notehead_vars =
 199         save a_b,err_y_a,tilt,superness;
 200         save ai_a,ai_bi,err_y_ai,err_x_bi,inner_tilt,inner_superness;
 201         save b_h,a_w;
 202         enddef;
 203
 204 % setup addititional vars and calc them
 205 def notehead_calc =
 206         save a,beta,ai,bi, ht, wd;
 207         ht# =noteheight#;
 208         2beta#=ht#*b_h;
 209         a# = beta#*a_b;
 210         wd# = 2a# / a_w;
 211         ai# = a# * ai_a;
 212         bi# = ai#/ai_bi;
 213         define_pixels(a,beta);
 214         define_pixels(ai,bi);
 215         set_char_box(0, wd#, .5 ht#, .5 ht#);
 216         enddef;
 217
 218
 219 % draw the outer and inner ellipse.
 220 def notehead_draw =
 221         path black,white;
 222         black=distorted_ellipse(a,beta,a*err_y_a,0,superness);
 223         white=distorted_ellipse(ai,bi,ai*err_y_ai,bi*err_x_bi,inner_superness);
 224 if test>1: %fixme
 225                 save x;
 226                 x1=-x3=a; x2=x4=0; y1=y3=0; y2=-y4=b;
 227                 penlabels(1,2,3,4);
 228                 test_grid;
 229 else:
 230                 black:=black rotated tilt;
 231                 black:=black shifted (w/2,0);
 232                 white:=white rotated inner_tilt;
 233                 white:=white shifted (w/2,0);
 234 fi
 235                 fill black;
 236                 unfill white;
 237
 238
 239         enddef;
 240
 241 def draw_whole_head =
 242         setup_notehead_vars;
 243
 244         a_b:=1.80;
 245         err_y_a:=0; % no slant
 246         tilt:=0;
 247         superness:=0.707;
 248         ai_a:=0.508;
 249         % ai_bi:=1.23;
 250         ai_bi:=1.30; % jcn
 251         % err_y_ai:=0.0938;
 252         % err_x_bi:=0;
 253         err_y_ai:=0;
 254         err_x_bi:=0.115;
 255         % inner_tilt:=135;
 256         inner_tilt:=125; % jcn
 257         % inner_superness:=0.69;
 258         inner_superness:=0.68; % jcn
 259         b_h:=1; %no rotate-> no height correction
 260         a_w:=1; % no rotate-> no width correction
 261
 262         notehead_calc;
 263         whole_notehead_width# := wd#;
 264         notehead_draw;
 265 enddef;
 266
 267
 268 %
 269 % dimensions aren't entirely right.
 270 %
 271 fet_beginchar ("Brevis notehead", "-1", "brevishead");
 272         save stemthick, fudge;
 273         define_pixels (stemthick);
 274         fudge = blot_diameter /2;
 275         stemthick# = 2 stafflinethickness#;
 276
 277         draw_whole_head;
 278
 279         pickup pencircle scaled stemthick;
 280
 281         bot y1 = -d;
 282         top y2 = h;
 283         rt x1 - fudge = 0;
 284         x1 = x2;
 285
 286         fudge + lft x3 = w;
 287         x4 = x3;
 288         y4 = y2;
 289         y3 = y1;
 290
 291         draw z1 -- z2;
 292         draw z3 -- z4;
 293 fet_endchar;
 294
 295 % whole note
 296 % Wanske, p.38
 297 fet_beginchar("Whole notehead", "0", "wholehead")
 298         draw_whole_head;
 299 fet_endchar;
 300
 301
 302
 303 % half note
 304 % Wanske, p.39
 305 fet_beginchar("Half notehead", "1",
 306         "halfhead")
 307         setup_notehead_vars;
 308                 % a_b:=1.49; % after text
 309         a_b:=1.50; % after drawing
 310         err_y_a:=0.157;
 311         tilt:=34;
 312         % superness:=0.66;
 313         superness:=0.67; % jcn
 314         % ai_a:=0.863;
 315         ai_a:=0.850; % jcn
 316         % ai_bi:=3.14;
 317         ai_bi:=3.30; % jcn
 318         err_y_ai:=0;
 319         err_x_bi:=-0.12;
 320         inner_tilt:=tilt;
 321         inner_superness:=0.80;
 322         b_h:=0.935;
 323         a_w:=1.12;
 324
 325         notehead_calc;
 326         half_notehead_width# := wd#;
 327         notehead_draw;
 328 fet_endchar;
 329
 330
 331
 332 % quarter note
 333 % Wanske p.38
 334 fet_beginchar("Quart notehead", "2", "quarthead")
 335         setup_notehead_vars;
 336         % a_b:=1.57; % after text
 337         a_b:=1.54; % after drawing
 338         err_y_a:=0.044;
 339         tilt:=32;
 340         superness:=0.707;
 341         ai_a:=0;
 342         ai_bi:=1;
 343         err_y_ai:=0;
 344         err_x_bi:=0;
 345         inner_tilt:=0;
 346         inner_superness:=0.707;
 347         b_h:=0.85;
 348         a_w:=1.09;
 349
 350         notehead_calc;
 351         black_notehead_width# := wd#;
 352         notehead_draw;
 353 fet_endchar;
 354
 355
 356 % whole note
 357 % Wanske, p.38
 358 fet_beginchar("Whole diamondhead", "0diamond", "wholediamondhead")
 359         setup_notehead_vars;
 360
 361         a_b:=1.80;
 362         err_y_a:=0; % no slant
 363         tilt:=0;
 364         superness:=0.495;
 365         ai_a:=0.350;
 366         % ai_bi:=1.23;
 367         ai_bi:=1.30; % jcn
 368         % err_y_ai:=0.0938;
 369         % err_x_bi:=0;
 370         err_y_ai:=0;
 371         err_x_bi:=0.115;
 372         % inner_tilt:=135;
 373         inner_tilt:=125; % jcn
 374         % inner_superness:=0.69;
 375         inner_superness:=0.6; % jcn
 376         b_h:=1; %no rotate-> no height correction
 377         a_w:=1; % no rotate-> no width correction
 378
 379         notehead_calc;
 380         whole_notehead_width# := wd#;
 381         notehead_draw;
 382 fet_endchar;
 383
 384
 385 % half note
 386 % Wanske, p.39
 387 fet_beginchar("Half diamondhead", "1diamond",
 388         "halfdiamondhead")
 389         setup_notehead_vars;
 390
 391         a_b := 1.50; % after drawing
 392         err_y_a:=0.157;
 393
 394         tilt:=34;
 395         superness:=0.49; % jcn
 396         ai_a:=0.550; % jcn
 397         ai_bi:=3.30; % jcn
 398
 399         err_y_ai:=0;
 400         err_x_bi:=-0.12;
 401         inner_tilt:=tilt;
 402         inner_superness:=0.80;
 403
 404         b_h:= 1.03;
 405         a_w:= 1.2;
 406
 407         notehead_calc;
 408         half_notehead_width# := wd#;
 409         notehead_draw;
 410 fet_endchar;
 411
 412
 413 % quarter note
 414 % Wanske p.38
 415 fet_beginchar("Quart diamondhead", "2diamond", "diamondhead")
 416         set_char_box(0, black_notehead_width#, noteheight#/2, noteheight#/2);
 417         save a_b,err_y_a,tilt,superness;
 418         save b_h,a_w;
 419         save a,beta,ai,bi, ht, wd;
 420
 421         a_b:= 1.8;
 422         err_y_a:=-0.044;
 423         b_h:=0.90;
 424         a_w:=1.1;
 425         tilt:=35;
 426         superness:=0.495;
 427
 428         ht# =noteheight#;
 429         2beta#=ht#*b_h;
 430         a# = beta#*a_b;
 431
 432         define_pixels(a,beta);
 433
 434         black := distorted_ellipse(.72 noteheight, .45 noteheight, -.2 noteheight ,   0, superness)
 435
 436 %                       beta,a*err_y_a,0,superness);
 437
 438         black:=black rotated tilt;
 439         black:=black shifted (w/2,0);
 440         fill black;
 441 fet_endchar;
 442
 443 save triangle; path triangle;
 444 triangle = (-sqrt3/4,-1/2) -- (0,1) -- (sqrt3/4,-1/2) -- cycle;
 445
 446 fet_beginchar("Whole trianglehead", "0triangle", "wholetrianglehead")
 447         set_char_box(0, 2(noteheight#+stafflinethickness#)/sqrt3*7/8,
 448           (noteheight#+stafflinethickness#)/2,(noteheight#+stafflinethickness#)/2);
 449         fill triangle scaled (7h/6) shifted (w/2,-h/6);
 450         unfill triangle scaled 0.72h shifted (w/2,-h/6);
 451 fet_endchar;
 452 fet_beginchar("Half trianglehead", "1triangle", "halftrianglehead")
 453         thick := 1.2stafflinethickness;
 454         set_char_box(0, 2noteheight#/sqrt3*7/8,noteheight#/2,noteheight#/2);
 455         fill triangle scaled (7h/6) shifted (w/2,-h/6);
 456         unfill triangle scaled 0.7h shifted (w/2,-h/6);
 457 fet_endchar;
 458 fet_beginchar("Quart trianglehead", "2triangle", "trianglehead")
 459         thick := 1.2stafflinethickness;
 460         set_char_box(0, 2noteheight#/sqrt3*7/8,noteheight#/2,noteheight#/2);
 461         fill triangle scaled (7h/6) shifted (w/2,-h/6);
 462 fet_endchar;
 463
 464
 465 slw := staff_space;
 466 slw# := staff_space#;
 467 slt := 1.25stafflinethickness;
 468 slt# := 1.25stafflinethickness#;
 469 slxt = 1.5slt;
 470 slxt# := 1.5slt#;
 471 slh := 1.5staff_space;
 472 slh# := 1.5staff_space#;
 473
 474 fet_beginchar("Whole slashhead","0slash","wholeslashhead")
 475         wid := slw#+2slxt#+staff_space#;
 476         set_char_box(0,wid-stafflinethickness#,slh#/2,slh#/2);
 477         define_pixels (wid);
 478         pickup penrazor scaled slxt;
 479         draw (-b+slxt/2-stafflinethickness/2,-d) -- (-b+slxt/2+slw-stafflinethickness/2,h);
 480         draw (w-slxt/2-slw+stafflinethickness/2,-d) -- (w-slxt/2+stafflinethickness/2,h);
 481         pickup penrazor scaled slt rotated 90;
 482         draw (-b+slxt-stafflinethickness/2,-d+slt/2) -- (w-slw+stafflinethickness/2,-d+slt/2);
 483         draw (-b+slw-stafflinethickness/2,h-slt/2) -- (w-slxt+stafflinethickness/2,h-slt/2);
 484 fet_endchar;
 485
 486 fet_beginchar("Half slashhead","1slash","halfslashhead")
 487         wid := slw#+2slxt#+0.6staff_space#;
 488         set_char_box(0,wid-stafflinethickness#,slh#/2,slh#/2);
 489         define_pixels (wid);
 490         pickup penrazor scaled slxt;
 491         draw (b+slxt/2-stafflinethickness/2,-d) -- (b+slxt/2+slw-stafflinethickness/2,h);
 492         draw (w-slxt/2-slw+stafflinethickness/2,-d) -- (w-slxt/2+stafflinethickness/2,h);
 493         pickup penrazor scaled slt rotated 90;
 494         draw (b+slxt-stafflinethickness/2,-d+slt/2) -- (w-slw+stafflinethickness/2,-d+slt/2);
 495         draw (b+slw-stafflinethickness/2,h-slt/2) -- (w-slxt+stafflinethickness/2,h-slt/2);
 496 fet_endchar;
 497
 498 fet_beginchar("Quart slashhead","2slash","quartslashhead")
 499         wid := slw#+slxt#;
 500         set_char_box(0,slw#+slxt#-stafflinethickness#,slh#/2,slh#/2);
 501         define_pixels (wid);
 502         pickup penrazor scaled slxt;
 503         draw (b+slxt/2-stafflinethickness/2,-d) -- (b+slxt/2+slw-stafflinethickness/2,h);
 504 fet_endchar;
 505
 506 % thick is the distance between the two parallel lines in the cross (distance between centres of lines)
 507 def draw_cross(expr thick) =
 508         pent := 1.2stafflinethickness;
 509         pickup pencircle scaled pent;
 510         % alfa is the slant of the lines (i.e. 1 means 45 degrees)
 511         alfa := (2h-pent)/(w-pent);
 512         % llen is the length of the little outer lines
 513         % llen = thick / sin(2atan(alfa))
 514         llen := thick/(ypart(dir(2angle(1,alfa))));
 515         xa := llen/sqrt(1+alfa**2);
 516         ya := xa*alfa;
 517         xl := w/2-xa-pent/2;
 518         yl := h-ya-pent/2;
 519         save crz; path crz;
 520         crz = (xa,0) -- (xa+xl,yl) -- (xl,yl+ya) -- (0,ya);
 521         draw crz shifted(w/2,0);
 522         draw crz xscaled -1 shifted(w/2,0);
 523         draw crz yscaled -1 shifted(w/2,0);
 524         draw crz scaled -1 shifted(w/2,0);
 525 enddef;
 526
 527 fet_beginchar("Whole Crossed notehead", "0cross", "wholecrossedhead")
 528         wid# := black_notehead_width#+4stafflinethickness#;
 529         hei# := noteheight#+stafflinethickness#;
 530         set_char_box(0, wid#,hei#/2,hei#/2);
 531         draw_cross(3.75stafflinethickness);
 532 fet_endchar;
 533
 534 fet_beginchar("Half Crossed notehead", "1cross", "halfcrossedhead")
 535         wid# := black_notehead_width#+2stafflinethickness#;
 536         hei# := noteheight#+stafflinethickness#/2;
 537         set_char_box(0, wid#,hei#/2,hei#/2);
 538         draw_cross(3stafflinethickness);
 539 fet_endchar;
 540
 541 fet_beginchar("Crossed notehead", "2cross", "crossedhead")
 542         wid# := black_notehead_width#;
 543         hei# := noteheight#;
 544         set_char_box(0, wid#,hei#/2,hei#/2);
 545         draw_cross(stafflinethickness/4);
 546 fet_endchar;
 547
 548 fet_beginchar("X-Circled notehead", "2xcircle", "xcircledhead")
 549         set_char_box(0, noteheight#+stafflinethickness#,
 550           noteheight#/2+stafflinethickness#/2,noteheight#/2+stafflinethickness#/2);
 551         pickup pencircle scaled 1.2stafflinethickness;
 552         draw fullcircle scaled 2h shifted (h,0);
 553         pos := h/sqrt2;
 554         draw (-pos+h,-pos) -- (pos+h,pos);
 555         draw (-pos+h,pos) -- (pos+h,-pos);
 556 fet_endchar;
 557
 558 fet_endgroup("noteheads");
 559 define_pixels(black_notehead_width);